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Finding the Fourth Proportional to 169.00, 233.11 and 141.31

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Solution

The fourth proportional to 169.00, 233.11 and 141.31 is: 194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.00 : 233.11 = 141.31 : x
  2. Step 2: Convert to fraction form
    169.00/233.11 = 141.31/x
  3. Step 3: Cross multiply
    169.00x = 233.11 × 141.31
  4. Step 4: Simplify right side
    169.00x = 32,939.61
  5. Step 5: Solve for x
    x = 32,939.61/169.00
  6. Step 6: Final answer
    x = 194.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.